Dynamical analysis of almost periodic solution for a multispecies predator-prey model with mutual interference and time delays

Advances in Difference Equations

Si Zhou¹  Zhen Wang¹  Yuanfu Shao¹  Hairu Chen¹  Qin Liu¹ 

[1] School of Science, Guilin University of Technology, Guilin, P.R. China

关键词: almost periodic solution;    global attractivity;    mutual interference;    numerical simulation;   

DOI  :  10.1186/s13662-017-1447-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we build a multispecies predator-prey model with mutual interference and time delays. By means of the comparison theorem, Ascoli theorem and Lebesgue dominated convergence theorem, we establish the sufficient conditions of permanence and investigate the existence of a unique almost periodic solution. By constructing a suitable Lyapunov function, we obtain that the positive almost periodic solution is globally attractive. Finally, we give numerical simulations to indicate the complex dynamical behaviors of this system.

【 授权许可】

CC BY